 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 53, Issue 8 / 2018 | Next article >> |
| I.Yu. Polekhin, "On the Impossibility of Global Stabilization of the Lagrange Top," Mech. Solids. 53 (S2), 71-75 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S2 |
Pages |
71-75 |
| DOI |
10.3103/S002565441805014X |
| Title |
On the Impossibility of Global Stabilization of the Lagrange Top |
| Author(s) |
I.Yu. Polekhin (Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 119991 Russia, ivanpolekhin@mi-ras.ru) |
| Abstract |
It is shown that the problem of the asymptotic stabilization of a given position of the
Lagrange top for any control from a sufficiently wide class does not permit the existence of a single
uniformly asymptotically stable equilibrium, even with possible impacts of the top against the horizontal plane; i.e., the global stabilization of the system is impossible. In particular, we show that it is
impossible to globally stabilize the top by moving its pivot point along the horizontal plane. |
| Keywords |
Lagrange top, Rigid body dynamic, feedback control, global stabilization |
| Received |
03 May 2018 |
| Link to Fulltext |
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